Previous notions can be written using the notion of calibration in fairness.
When the algorithm's decision is based on a score \(s(X)\) , as in [1]}, a Calibration metric is defined as
\(| \mathbb {P}(Y=1 | A=0, s(X)) - \mathbb {P}(Y=1 | A=1, s(X)) |.\) 
